A numerical approach to Blow-up issues for Davey-Stewartson II type systems

Abstract

We provide a numerical study of various issues pertaining to the dynamics of the Davey-Stewartson systems of the DS II type. In particular we investigate whether or not the properties (blow-up, radiation,...) displayed by the focusing and defocusing DS II integrable systems persist in the non integrable case.

arXiv commentminor change

References in corpus (5)

• Numerical study of fractional Nonlinear Schrödinger equations
• Numerical Study of the semiclassical limit of the Davey-Stewartson II equations
• Numerical study of blow-up in solutions to generalized Korteweg-de Vries equations
• Numerical study of the transverse stability of NLS soliton solutions in several classes of NLS type equations
• Global Well-Posedness and Long-time Asymptotics for the Defocussing Davey-Stewartson II Equation in $H^{1,1}(R^2)$

Cited by in corpus (2)

• High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data
• Numerical study of Davey-Stewartson I systems